928253921280 has 768 divisors, whose sum is σ = 3709945774080. Its totient is φ = 193226342400.

The previous prime is 928253921269. The next prime is 928253921281. The reversal of 928253921280 is 82129352829.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (928253921281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113321985 + ... + 113330175.

It is an arithmetic number, because the mean of its divisors is an integer number (4830658560).

Almost surely, 2^928253921280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928253921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854972887040).

928253921280 is an abundant number, since it is smaller than the sum of its proper divisors (2781691852800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

928253921280 is a wasteful number, since it uses less digits than its factorization.

928253921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 928253921280 in words is "nine hundred twenty-eight billion, two hundred fifty-three million, nine hundred twenty-one thousand, two hundred eighty".